51741800 has 96 divisors (see below), whose sum is σ = 135928800. Its totient is φ = 18144000.

The previous prime is 51741797. The next prime is 51741803. The reversal of 51741800 is 814715.

It is an interprime number because it is at equal distance from previous prime (51741797) and next prime (51741803).

It is a self number, because there is not a number n which added to its sum of digits gives 51741800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51741803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63395 + ... + 64205.

It is an arithmetic number, because the mean of its divisors is an integer number (1415925).

Almost surely, 2^51741800 is an apocalyptic number.

51741800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51741800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67964400).

51741800 is an abundant number, since it is smaller than the sum of its proper divisors (84187000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51741800 is a wasteful number, since it uses less digits than its factorization.

51741800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 51741800 is about 7193.1773229916. The cubic root of 51741800 is about 372.6323119000.

The spelling of 51741800 in words is "fifty-one million, seven hundred forty-one thousand, eight hundred".